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Three-level atomic systems coupled to light have the capacity to host darkstates. We study a system of V-shaped three-level atoms coherently coupled tothe two quadratures of a dissipative cavity. The interplay between the atomiclevel structure and dissipation makes the phase diagram of the open systemdrastically different from the closed one. In particular, it leads to thestabilization of a continuous family of dark and nearly dark excited many-bodystates with inverted atomic populations as the steady states. Themultistability of these states can be probed via their distinct fluctuationsand excitation spectra, as well as the system's Liouvillian dynamics which arehighly sensitive to ramp protocols. Our model can be implemented experimentallyby encoding the two higher-energy modes in orthogonal density-modulated statesin a bosonic quantum gas. This implementation offers prospects for potentialapplications like the realization of quantum optical random walks andmicroscopy with subwavelength spatial resolution.

Dissipation-engineered family of nearly dark states in many-body cavity-atom systems